12260929824 has 480 divisors, whose sum is σ = 44618333760. Its totient is φ = 3247257600.

The previous prime is 12260929819. The next prime is 12260929831. The reversal of 12260929824 is 42892906221.

12260929824 is a `hidden beast` number, since 12 + 2 + 609 + 2 + 9 + 8 + 24 = 666.

12260929824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12260929824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7041594 + ... + 7043334.

It is an arithmetic number, because the mean of its divisors is an integer number (92954862).

Almost surely, 2^12260929824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12260929824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22309166880).

12260929824 is an abundant number, since it is smaller than the sum of its proper divisors (32357403936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12260929824 is a wasteful number, since it uses less digits than its factorization.

12260929824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12260929824 in words is "twelve billion, two hundred sixty million, nine hundred twenty-nine thousand, eight hundred twenty-four".